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Theorems · Theorem · logic and foundations

IsRegularCardinalOrder.type_lt_le_ord_cof

∀ {α : Type u_2} {inst : LinearOrder α} {inst_1 : WellFoundedLT α} [self : IsRegularCardinalOrder α],
  (Ordinal.type fun x1 x2 => x1 < x2) ≤ (Order.cof α).ord
Defined in
Mathlib.SetTheory.Cardinal.Cofinality.Enum
Cited by
1 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
IsRegularCardinalOrder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Order.ord_cof_eq_type_lt · cited by 2Order.ord_cof_eq_type_ltLinearOrder · cited by 8572LinearOrderOrdinal · cited by 1688OrdinalWellFoundedLT · cited by 491WellFoundedLTCardinal.ord · cited by 266Cardinal.ordOrdinal.type · cited by 207Ordinal.typeIsWellOrder · cited by 171IsWellOrderOrder.cof · cited by 86Order.cofIsRegularCardinalOrder · cited by 17IsRegularCardinalOrderIsRegularCardinalOrder.type_l…CITED BYCITES

Cites8

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Cited by1

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